Question

A sample of propane, C3H8, contains 13.8 moles of carbon atoms. How many total moles of atoms does the sample contain

Answer 1

Answer:

$Total = 50.6\ moles$

Explanation:

Given

$Propane = C_3H_8$

Represent Carbon with C and Hydrogen with H

$C = 13.8$

Required

Determine the total moles

First, we need to represent propane as a ratio

$C_3H_8$ implies

$C:H = 3:8$

So, we're to first solve for H when $C = 13.8$

Substitute 13.8 for C

$13.8 : H = 3 : 8$

Convert to fraction

$\frac{13.8}{H} = \frac{3}{8}$

Cross Multiply

$3 * H = 13.8 * 8$

$3 H = 110.4$

Solve for H

$H = 110.4/3$

$H = 36.8$

So, when

$C = 13.8$

$H = 36.8$

$Total = C + H$

$Total = 13.8 + 36.8$

$Total = 50.6\ moles$